Q. 55.0( 3 Votes )

# Find the coordina

Answer :

Key points to solve the problem:

• Idea of distance formula- Distance between two points P(x_{1},y_{1}) and Q(x_{2},y_{2}) is given by- PQ =

• Incentre of a triangle - Let A(x_{1,}y_{1}) , B(x_{2},y_{2}) and C(x_{3},y_{3}) be the 3 vertices of ΔABC and O be the centre of circle inscribed in ΔABC

O = where a, b and c are length of sides opposite to ∠ A , ∠ B and ∠ C respectively.

Given, coordinates of vertices of triangle as shown in figure:

We need to find the coordinates of O:

Before that we have to find a ,b and c. We will use distance formula to find the same.

As, a = BC =

b = AC =

and c = AB =

∴ coordinates of O =

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